Check CBSE Class 12 Applied Mathematics Syllabus 2021-22. The link to download CBSE Class 12 Applied Mathematics Syllabus 2021-22 is given at the end of this article. Download now and prepare for CBSE Class 12 Applied Mathematics board exam.

CBSE Class 12 Applied Mathematics Syllabus 2021-22:

Total number of Periods: 240 (35 Minutes Each)

Number of Paper: 1

Time: 3 Hours

Max Marks: 80

Practical: Use of spreadsheet

Graphs of an exponential function, demand and supply functions on Excel and study the nature of function at various points, maxima/minima

Matrix operations using Excel

Suggested practical using the spreadsheet

i) Plot the graphs of functions on excel and study the graph to find out the point of maxima/minima

ii) Probability and dice roll simulation

iii) Matrix multiplication and the inverse of a matrix iv) Stock Market data sheet on excel

v) Collect the data on weather, price, inflation, and pollution analyze the data and make meaningful inferences

vi) Collect data from newspapers on traffic, sports activities and market trends and use excel to study future trends

List of Suggested projects (Class XI /XII)

i) Use of prime numbers in coding and decoding of messages

ii) Prime numbers and divisibility rules

iii) Logarithms for financial calculations such as interest, present value, future value, profit/loss etc. with large values)

iv) The cardinality of a set and orders of infinity

v) Comparing sets of Natural numbers, rational numbers, real numbers and others vi) Use of Venn diagram in solving practical problems

vii) Fibonacci sequence: Its' history and presence in nature

viii) Testing the validity of mathematical statements and framing truth tables ix) Investigating Graphs of functions for their properties

x) Visit the census site of India http://www.censusindia.gov.in/Census_Data_2001/Census_Data_Online/Languag e/State ment3.htm Depict the information given there in a pictorial form

xi) Prepare a questionnaire to collect information about money spent by your friends in a month on activities like travelling, movies, recharging of the mobiles, etc. and draw interesting conclusions

xii) Check out the local newspaper and cut out examples of information depicted by graphs. Draw your own conclusions from the graph and compare it with the analysis given in the report

xiii) Analysis of population migration data – positive and negative influence on urbanization

xiv) Each day the newspaper tells us about the maximum temperature, minimum temperature, and humidity. Collect the data for a period of 30 days and represent it graphically. Compare it with the data available for the same time period for the previous year

xv) Analysis of career graph of a cricketer (batting average for a batsman and bowling average for a bowler). Conclude the best year of his career. It may be extended for other players also – tennis, badminton, athlete

xvi) Vehicle registration data – correlating with pollution and the number of accidents

xvii) Visit a village near Delhi and collect data of various crops over the past few years from the farmers. Also, collect data about temperature variation and rain over the period for a particular crop. Try to find the effect of temperature and rain variations on various crops

xviii) Choose any week of your ongoing semester. Collect data for the past 10 – 15 years for the amount of rainfall received in Delhi during that week. Predict the amount of rainfall for the current year

xix) Weather prediction (prediction of monsoon from past data)

xx) Visit Kirana shops near your home and collect the data regarding the sales of certain commodities over a month. Try to figure out the stock of a particular commodity which should be in the store in order to maximize the profit

xxi) Stock price movement

xxii) Risk assessments by insurance firms from data xxiii) Predicting stock market crash

xxiv) Predicting the outcome of an election – exit polls

xxv) Predicting mortality of infants

Assessment Plan

1. Overall Assessment of the course is out of 100 marks.

2. The assessment plan consists of an External Exam and Internal Assessment.

3. External Exam will be of 03 hours duration Pen/ Paper Test consisting of 80 marks.

4. The weightage of the Internal Assessment is 20 marks. Internal Assessment can be a combination of activities spread throughout the semester/ academic year. Internal Assessment activities include projects and excel based practical. Teachers can choose activities from the suggested list of practicals or they can plan activities of a similar nature. For data-based practical, teachers are encouraged to use data from local sources to make it more relevant for students.

5.Weightage for each area of internal assessment may be as under:

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